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Finding the Fourth Proportional to 3,783.78, 5,221.26 and 2,105.06

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Solution

The fourth proportional to 3,783.78, 5,221.26 and 2,105.06 is: 2,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.78 : 5,221.26 = 2,105.06 : x
  2. Step 2: Convert to fraction form
    3,783.78/5,221.26 = 2,105.06/x
  3. Step 3: Cross multiply
    3,783.78x = 5,221.26 × 2,105.06
  4. Step 4: Simplify right side
    3,783.78x = 10,991,039.47
  5. Step 5: Solve for x
    x = 10,991,039.47/3,783.78
  6. Step 6: Final answer
    x = 2,904.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.